Sakura speaks 150 words per minute on average in Hungarian, and 190 words per minute on average in Polish. She once gave cooking instructions in Hungarian, followed by cleaning instructions in Polish. Sakura spent 5 minutes total giving both instructions and spoke 270 more words in Polish than in Hungarian. How long did Sakura speak in Hungarian, and how long did she speak in Polish?

She spoke for 2 minutes in Hungarian and 3 minutes in Polish.

Step-by-step explanation:

Set up a system of equations to solve this.

h = time in Hungarian

p =time in Polish

p + h = 5

190p - 150h = 270

Solve using substitution.

p = 5 - h

190(5 - h) - 150h = 270

Distribute/simply.

950 -340h = 270

h = 2

p = 3

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

step-by-step explanation: 4 cause 2+2=4